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Finding the Third Proportional to 21,321 and 32,001.75

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Solution

The third proportional to 21,321 and 32,001.75 is: 48,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321 : 32,001.75 = 32,001.75 : x
  2. Step 2: Convert to fraction form
    21,321/32,001.75 = 32,001.75/x
  3. Step 3: Cross multiply
    21,321x = 32,001.75 × 32,001.75
  4. Step 4: Simplify right side
    21,321x = 1,024,112,003.06
  5. Step 5: Solve for x
    x = 1,024,112,003.06/21,321
  6. Step 6: Final answer
    x = 48,033.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.